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Finding the Fourth Proportional to 10,347.31, 15,508.23 and 4,793.14

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Solution

The fourth proportional to 10,347.31, 15,508.23 and 4,793.14 is: 7,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.31 : 15,508.23 = 4,793.14 : x
  2. Step 2: Convert to fraction form
    10,347.31/15,508.23 = 4,793.14/x
  3. Step 3: Cross multiply
    10,347.31x = 15,508.23 × 4,793.14
  4. Step 4: Simplify right side
    10,347.31x = 74,333,117.54
  5. Step 5: Solve for x
    x = 74,333,117.54/10,347.31
  6. Step 6: Final answer
    x = 7,183.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.